5*n+3=3*n*2-1

Solution for 5*n+3=3*n*2-1 equation:

Simplifying
5n + 3 = 3n * 2 + -1

Reorder the terms:
3 + 5n = 3n * 2 + -1

Reorder the terms for easier multiplication:
3 + 5n = 3 * 2n + -1

Multiply 3 * 2
3 + 5n = 6n + -1

Reorder the terms:
3 + 5n = -1 + 6n

Solving
3 + 5n = -1 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
3 + 5n + -6n = -1 + 6n + -6n

Combine like terms: 5n + -6n = -1n
3 + -1n = -1 + 6n + -6n

Combine like terms: 6n + -6n = 0
3 + -1n = -1 + 0
3 + -1n = -1

Add '-3' to each side of the equation.
3 + -3 + -1n = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = -1 + -3
-1n = -1 + -3

Combine like terms: -1 + -3 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4